Least Common Multiple (LCM) of 24 and 138
The least common multiple (LCM) of 24 and 138 is 552.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 24 and 138?
First, calculate the GCD of 24 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 138 = 0 remainder 24 |
| 2 | 138 ÷ 24 = 5 remainder 18 |
| 3 | 24 ÷ 18 = 1 remainder 6 |
| 4 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 132 | 6600 |
| 132 and 125 | 16500 |
| 151 and 110 | 16610 |
| 135 and 77 | 10395 |
| 77 and 132 | 924 |